# How do you solve 6x + 3( 2- 3x ) = 3- 2( x - 1)?

Jun 5, 2017

$x = 1$

#### Explanation:

$6 x + 3 \left(2 - 3 x\right) = 3 - 2 \left(x - 1\right)$

We can solve this equation by isolating $x$.

We can first expand the brackets.

$6 x + 6 - 9 x = 3 - 2 x + 2$

Now we can use algebra to isolate $x$

$6 x - 9 x = 3 - 2 x + 2 - 6$

$6 x - 9 x + 2 x = 3 + 2 - 6$

$6 x - 9 x + 2 x = 5 - 6$

$6 x - 9 x + 2 x = - 1$

$- 3 x + 2 x = - 1$

$- 1 x = - 1$

We cancel out the negative signs.

$\cancel{-} 1 x = \cancel{-} 1$

$1 x = 1$

color(blue)(x = 1

Hope this helped :)